Question

If $H(3,4)$ and $C(1,2)$ are orthocentre and circumcentre of $\Delta$ PQR respectively and equation of side $PQ$ is $x-y+7=0$, then which of the following is correct

• A. equation of circumcircle $(x-1{)}^2+(y-2{)}^2=80$
• B. equation of circumcircle $(x-1{)}^2+(y-2{)}^2=70$
• C. centroid is $(\frac{5}{3},\frac{8}{3})$
• D. circum radius = $\sqrt{80}$

Answer 1

Answer: (A), (C), (D)

The correct options are
A equation of circumcircle $(x-1{)}^2+(y-2{)}^2=80$
C centroid is $(\frac{5}{3},\frac{8}{3})$
D circum radius = $\sqrt{80}$